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Finding the Fourth Proportional to 13,364.92, 18,443.32 and 7,396.24

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Solution

The fourth proportional to 13,364.92, 18,443.32 and 7,396.24 is: 10,206.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,364.92 : 18,443.32 = 7,396.24 : x
  2. Step 2: Convert to fraction form
    13,364.92/18,443.32 = 7,396.24/x
  3. Step 3: Cross multiply
    13,364.92x = 18,443.32 × 7,396.24
  4. Step 4: Simplify right side
    13,364.92x = 136,411,221.12
  5. Step 5: Solve for x
    x = 136,411,221.12/13,364.92
  6. Step 6: Final answer
    x = 10,206.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.